Bradley W. Brock

activity

20152023

most citedPeriodic continued fractions over

S

-integers in number fields and Skolem's

p

-adic method

3 citations · 4 across the 5 of their papers we have counts for

collaborators

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3 papers · 1 filter

math.NT2023

A composition law and refined notions of convergence for periodic continued fractions

Bradley W. Brock, Bruce W. Jordan, Lawren Smithline

We define an equivalence relation on periodic continued fractions with partial quotients in a ring $O \subseteq C$ , a group law on these equivalence classes, and…

math.NT2020

Linear independence in linear systems on elliptic curves

Bradley W. Brock, Bruce W. Jordan, Bjorn Poonen +2

Let $E$ be an elliptic curve, with identity $O$ , and let $C$ be a cyclic subgroup of odd order $N$ , over an algebraically closed field $k$ with $char k ∤ N$ . For…

math.NT2019★ 3 cited

Periodic continued fractions over $S$ -integers in number fields and Skolem's $p$ -adic method

Bradley W. Brock, Noam D. Elkies, Bruce W. Jordan

We generalize the classical theory of periodic continued fractions (PCFs) over $Z$ to rings $O$ of $S$ -integers in a number field. Let ${\mathcal B}=\{β, {β^*}…

A composition law and refined notions of convergence for periodic continued fractions

Linear independence in linear systems on elliptic curves

Periodic continued fractions over S-integers in number fields and Skolem's p-adic method

Periodic continued fractions over $S$ -integers in number fields and Skolem's $p$ -adic method